A conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed . What fraction of water over flows?

Explanation

To solve the problem step by step, we will follow these instructions:

### Step 1: Understand the problem
We have a conical vessel with a radius of 6 cm and a height of 8 cm that is completely filled with water. A sphere is lowered into the water, and we need to determine what fraction of the water overflows when the sphere is just immersed and touches the sides of the cone.

### Step 2: Calculate the volume of the conical vessel
The formula for the volume \( V \) of a cone is given by:
\[
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